TSTP Solution File: SWV095+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV095+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:28:00 EDT 2024
% Result : Theorem 0.55s 0.72s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 40
% Syntax : Number of formulae : 173 ( 90 unt; 0 def)
% Number of atoms : 1273 ( 577 equ)
% Maximal formula atoms : 74 ( 7 avg)
% Number of connectives : 1795 ( 695 ~; 686 |; 366 &)
% ( 38 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 38 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 20 con; 0-3 aty)
% Number of variables : 38 ( 30 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f540,plain,
$false,
inference(avatar_sat_refutation,[],[f435,f440,f445,f450,f455,f456,f457,f458,f459,f460,f461,f462,f463,f464,f465,f466,f467,f468,f469,f470,f471,f472,f473,f474,f475,f476,f477,f478,f479,f480,f481,f482,f483,f484,f485,f486,f526,f539]) ).
fof(f539,plain,
( spl3_32
| ~ spl3_34
| ~ spl3_35
| ~ spl3_36
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f538]) ).
fof(f538,plain,
( $false
| spl3_32
| ~ spl3_34
| ~ spl3_35
| ~ spl3_36
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f537,f454]) ).
fof(f454,plain,
( leq(n0,sK0)
| ~ spl3_37 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f452,plain,
( spl3_37
<=> leq(n0,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).
fof(f537,plain,
( ~ leq(n0,sK0)
| spl3_32
| ~ spl3_34
| ~ spl3_35
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f536,f449]) ).
fof(f449,plain,
( leq(n0,sK1)
| ~ spl3_36 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f447,plain,
( spl3_36
<=> leq(n0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).
fof(f536,plain,
( ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl3_32
| ~ spl3_34
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f535,f444]) ).
fof(f444,plain,
( leq(sK0,n2)
| ~ spl3_35 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl3_35
<=> leq(sK0,n2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f535,plain,
( ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl3_32
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f534,f439]) ).
fof(f439,plain,
( leq(sK1,minus(pv5,n1))
| ~ spl3_34 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f437,plain,
( spl3_34
<=> leq(sK1,minus(pv5,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f534,plain,
( ~ leq(sK1,minus(pv5,n1))
| ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl3_32 ),
inference(resolution,[],[f256,f430]) ).
fof(f430,plain,
( ~ sQ2_eqProxy(use,a_select3(u_defuse,sK0,sK1))
| spl3_32 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f428,plain,
( spl3_32
<=> sQ2_eqProxy(use,a_select3(u_defuse,sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f256,plain,
! [X2,X3] :
( sQ2_eqProxy(use,a_select3(u_defuse,X2,X3))
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(equality_proxy_replacement,[],[f168,f249]) ).
fof(f249,plain,
! [X0,X1] :
( sQ2_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).
fof(f168,plain,
! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( ( ( use != a_select3(z_defuse,sK0,sK1)
| use != a_select3(u_defuse,sK0,sK1) )
& leq(sK1,minus(pv5,n1))
& leq(sK0,n2)
& leq(n0,sK1)
& leq(n0,sK0) )
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) )
& ! [X2,X3] :
( ( use = a_select3(z_defuse,X2,X3)
& use = a_select3(u_defuse,X2,X3) )
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f131,f132]) ).
fof(f132,plain,
( ? [X0,X1] :
( ( use != a_select3(z_defuse,X0,X1)
| use != a_select3(u_defuse,X0,X1) )
& leq(X1,minus(pv5,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( ( use != a_select3(z_defuse,sK0,sK1)
| use != a_select3(u_defuse,sK0,sK1) )
& leq(sK1,minus(pv5,n1))
& leq(sK0,n2)
& leq(n0,sK1)
& leq(n0,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ( ? [X0,X1] :
( ( use != a_select3(z_defuse,X0,X1)
| use != a_select3(u_defuse,X0,X1) )
& leq(X1,minus(pv5,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) )
& ! [X2,X3] :
( ( use = a_select3(z_defuse,X2,X3)
& use = a_select3(u_defuse,X2,X3) )
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
( ( ? [X2,X3] :
( ( use != a_select3(z_defuse,X2,X3)
| use != a_select3(u_defuse,X2,X3) )
& leq(X3,minus(pv5,n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) )
& ! [X0,X1] :
( ( use = a_select3(z_defuse,X0,X1)
& use = a_select3(u_defuse,X0,X1) )
| ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
( ( ? [X2,X3] :
( ( use != a_select3(z_defuse,X2,X3)
| use != a_select3(u_defuse,X2,X3) )
& leq(X3,minus(pv5,n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) )
& ! [X0,X1] :
( ( use = a_select3(z_defuse,X0,X1)
& use = a_select3(u_defuse,X0,X1) )
| ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,plain,
~ ( ( ! [X0,X1] :
( ( leq(X1,minus(pv5,n1))
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( use = a_select3(z_defuse,X0,X1)
& use = a_select3(u_defuse,X0,X1) ) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ( ! [X2,X3] :
( ( leq(X3,minus(pv5,n1))
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> ( use = a_select3(z_defuse,X2,X3)
& use = a_select3(u_defuse,X2,X3) ) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X13,X17] :
( ( leq(X17,minus(pv5,n1))
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> ( use = a_select3(z_defuse,X13,X17)
& use = a_select3(u_defuse,X13,X17) ) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ( ! [X3,X19] :
( ( leq(X19,minus(pv5,n1))
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> ( use = a_select3(z_defuse,X3,X19)
& use = a_select3(u_defuse,X3,X19) ) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X13,X17] :
( ( leq(X17,minus(pv5,n1))
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> ( use = a_select3(z_defuse,X13,X17)
& use = a_select3(u_defuse,X13,X17) ) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ( ! [X3,X19] :
( ( leq(X19,minus(pv5,n1))
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> ( use = a_select3(z_defuse,X3,X19)
& use = a_select3(u_defuse,X3,X19) ) )
& leq(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ) ),
file('/export/starexec/sandbox/tmp/tmp.fops83eSrh/Vampire---4.8_5330',quaternion_ds1_inuse_0007) ).
fof(f526,plain,
( spl3_33
| ~ spl3_34
| ~ spl3_35
| ~ spl3_36
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f525]) ).
fof(f525,plain,
( $false
| spl3_33
| ~ spl3_34
| ~ spl3_35
| ~ spl3_36
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f524,f454]) ).
fof(f524,plain,
( ~ leq(n0,sK0)
| spl3_33
| ~ spl3_34
| ~ spl3_35
| ~ spl3_36 ),
inference(subsumption_resolution,[],[f523,f449]) ).
fof(f523,plain,
( ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl3_33
| ~ spl3_34
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f522,f444]) ).
fof(f522,plain,
( ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl3_33
| ~ spl3_34 ),
inference(subsumption_resolution,[],[f521,f439]) ).
fof(f521,plain,
( ~ leq(sK1,minus(pv5,n1))
| ~ leq(sK0,n2)
| ~ leq(n0,sK1)
| ~ leq(n0,sK0)
| spl3_33 ),
inference(resolution,[],[f255,f434]) ).
fof(f434,plain,
( ~ sQ2_eqProxy(use,a_select3(z_defuse,sK0,sK1))
| spl3_33 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f432,plain,
( spl3_33
<=> sQ2_eqProxy(use,a_select3(z_defuse,sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f255,plain,
! [X2,X3] :
( sQ2_eqProxy(use,a_select3(z_defuse,X2,X3))
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(equality_proxy_replacement,[],[f169,f249]) ).
fof(f169,plain,
! [X2,X3] :
( use = a_select3(z_defuse,X2,X3)
| ~ leq(X3,minus(pv5,n1))
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f133]) ).
fof(f486,plain,
spl3_1,
inference(avatar_split_clause,[],[f283,f304]) ).
fof(f304,plain,
( spl3_1
<=> sQ2_eqProxy(use,a_select2(rho_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f283,plain,
sQ2_eqProxy(use,a_select2(rho_defuse,n0)),
inference(equality_proxy_replacement,[],[f137,f249]) ).
fof(f137,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f133]) ).
fof(f485,plain,
spl3_2,
inference(avatar_split_clause,[],[f282,f308]) ).
fof(f308,plain,
( spl3_2
<=> sQ2_eqProxy(use,a_select2(rho_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f282,plain,
sQ2_eqProxy(use,a_select2(rho_defuse,n1)),
inference(equality_proxy_replacement,[],[f138,f249]) ).
fof(f138,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f133]) ).
fof(f484,plain,
spl3_3,
inference(avatar_split_clause,[],[f281,f312]) ).
fof(f312,plain,
( spl3_3
<=> sQ2_eqProxy(use,a_select2(rho_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f281,plain,
sQ2_eqProxy(use,a_select2(rho_defuse,n2)),
inference(equality_proxy_replacement,[],[f139,f249]) ).
fof(f139,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f133]) ).
fof(f483,plain,
spl3_4,
inference(avatar_split_clause,[],[f280,f316]) ).
fof(f316,plain,
( spl3_4
<=> sQ2_eqProxy(use,a_select2(sigma_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f280,plain,
sQ2_eqProxy(use,a_select2(sigma_defuse,n0)),
inference(equality_proxy_replacement,[],[f140,f249]) ).
fof(f140,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f133]) ).
fof(f482,plain,
spl3_5,
inference(avatar_split_clause,[],[f279,f320]) ).
fof(f320,plain,
( spl3_5
<=> sQ2_eqProxy(use,a_select2(sigma_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f279,plain,
sQ2_eqProxy(use,a_select2(sigma_defuse,n1)),
inference(equality_proxy_replacement,[],[f141,f249]) ).
fof(f141,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f133]) ).
fof(f481,plain,
spl3_6,
inference(avatar_split_clause,[],[f278,f324]) ).
fof(f324,plain,
( spl3_6
<=> sQ2_eqProxy(use,a_select2(sigma_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f278,plain,
sQ2_eqProxy(use,a_select2(sigma_defuse,n2)),
inference(equality_proxy_replacement,[],[f142,f249]) ).
fof(f142,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f133]) ).
fof(f480,plain,
spl3_7,
inference(avatar_split_clause,[],[f277,f328]) ).
fof(f328,plain,
( spl3_7
<=> sQ2_eqProxy(use,a_select2(sigma_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f277,plain,
sQ2_eqProxy(use,a_select2(sigma_defuse,n3)),
inference(equality_proxy_replacement,[],[f143,f249]) ).
fof(f143,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f133]) ).
fof(f479,plain,
spl3_8,
inference(avatar_split_clause,[],[f276,f332]) ).
fof(f332,plain,
( spl3_8
<=> sQ2_eqProxy(use,a_select2(sigma_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f276,plain,
sQ2_eqProxy(use,a_select2(sigma_defuse,n4)),
inference(equality_proxy_replacement,[],[f144,f249]) ).
fof(f144,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f133]) ).
fof(f478,plain,
spl3_9,
inference(avatar_split_clause,[],[f275,f336]) ).
fof(f336,plain,
( spl3_9
<=> sQ2_eqProxy(use,a_select2(sigma_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f275,plain,
sQ2_eqProxy(use,a_select2(sigma_defuse,n5)),
inference(equality_proxy_replacement,[],[f145,f249]) ).
fof(f145,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f133]) ).
fof(f477,plain,
spl3_10,
inference(avatar_split_clause,[],[f274,f340]) ).
fof(f340,plain,
( spl3_10
<=> sQ2_eqProxy(use,a_select3(u_defuse,n0,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f274,plain,
sQ2_eqProxy(use,a_select3(u_defuse,n0,n0)),
inference(equality_proxy_replacement,[],[f146,f249]) ).
fof(f146,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f133]) ).
fof(f476,plain,
spl3_11,
inference(avatar_split_clause,[],[f273,f344]) ).
fof(f344,plain,
( spl3_11
<=> sQ2_eqProxy(use,a_select3(u_defuse,n1,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f273,plain,
sQ2_eqProxy(use,a_select3(u_defuse,n1,n0)),
inference(equality_proxy_replacement,[],[f147,f249]) ).
fof(f147,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f133]) ).
fof(f475,plain,
spl3_12,
inference(avatar_split_clause,[],[f272,f348]) ).
fof(f348,plain,
( spl3_12
<=> sQ2_eqProxy(use,a_select3(u_defuse,n2,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f272,plain,
sQ2_eqProxy(use,a_select3(u_defuse,n2,n0)),
inference(equality_proxy_replacement,[],[f148,f249]) ).
fof(f148,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f133]) ).
fof(f474,plain,
spl3_13,
inference(avatar_split_clause,[],[f271,f352]) ).
fof(f352,plain,
( spl3_13
<=> sQ2_eqProxy(use,a_select2(xinit_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f271,plain,
sQ2_eqProxy(use,a_select2(xinit_defuse,n3)),
inference(equality_proxy_replacement,[],[f149,f249]) ).
fof(f149,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f133]) ).
fof(f473,plain,
spl3_14,
inference(avatar_split_clause,[],[f270,f356]) ).
fof(f356,plain,
( spl3_14
<=> sQ2_eqProxy(use,a_select2(xinit_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f270,plain,
sQ2_eqProxy(use,a_select2(xinit_defuse,n4)),
inference(equality_proxy_replacement,[],[f150,f249]) ).
fof(f150,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f133]) ).
fof(f472,plain,
spl3_15,
inference(avatar_split_clause,[],[f269,f360]) ).
fof(f360,plain,
( spl3_15
<=> sQ2_eqProxy(use,a_select2(xinit_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f269,plain,
sQ2_eqProxy(use,a_select2(xinit_defuse,n5)),
inference(equality_proxy_replacement,[],[f151,f249]) ).
fof(f151,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f133]) ).
fof(f471,plain,
spl3_16,
inference(avatar_split_clause,[],[f268,f364]) ).
fof(f364,plain,
( spl3_16
<=> sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f268,plain,
sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n0)),
inference(equality_proxy_replacement,[],[f152,f249]) ).
fof(f152,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f133]) ).
fof(f470,plain,
spl3_17,
inference(avatar_split_clause,[],[f267,f368]) ).
fof(f368,plain,
( spl3_17
<=> sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f267,plain,
sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n1)),
inference(equality_proxy_replacement,[],[f153,f249]) ).
fof(f153,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f133]) ).
fof(f469,plain,
spl3_18,
inference(avatar_split_clause,[],[f266,f372]) ).
fof(f372,plain,
( spl3_18
<=> sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f266,plain,
sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n2)),
inference(equality_proxy_replacement,[],[f154,f249]) ).
fof(f154,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f133]) ).
fof(f468,plain,
spl3_19,
inference(avatar_split_clause,[],[f265,f376]) ).
fof(f376,plain,
( spl3_19
<=> sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f265,plain,
sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n3)),
inference(equality_proxy_replacement,[],[f155,f249]) ).
fof(f155,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f133]) ).
fof(f467,plain,
spl3_20,
inference(avatar_split_clause,[],[f264,f380]) ).
fof(f380,plain,
( spl3_20
<=> sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f264,plain,
sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n4)),
inference(equality_proxy_replacement,[],[f156,f249]) ).
fof(f156,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f133]) ).
fof(f466,plain,
spl3_21,
inference(avatar_split_clause,[],[f263,f384]) ).
fof(f384,plain,
( spl3_21
<=> sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f263,plain,
sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n5)),
inference(equality_proxy_replacement,[],[f157,f249]) ).
fof(f157,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f133]) ).
fof(f465,plain,
spl3_22,
inference(avatar_split_clause,[],[f262,f388]) ).
fof(f388,plain,
( spl3_22
<=> sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f262,plain,
sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n0)),
inference(equality_proxy_replacement,[],[f158,f249]) ).
fof(f158,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f133]) ).
fof(f464,plain,
spl3_23,
inference(avatar_split_clause,[],[f261,f392]) ).
fof(f392,plain,
( spl3_23
<=> sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f261,plain,
sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n1)),
inference(equality_proxy_replacement,[],[f159,f249]) ).
fof(f159,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f133]) ).
fof(f463,plain,
spl3_24,
inference(avatar_split_clause,[],[f260,f396]) ).
fof(f396,plain,
( spl3_24
<=> sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f260,plain,
sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n2)),
inference(equality_proxy_replacement,[],[f160,f249]) ).
fof(f160,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f133]) ).
fof(f462,plain,
spl3_25,
inference(avatar_split_clause,[],[f259,f400]) ).
fof(f400,plain,
( spl3_25
<=> sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f259,plain,
sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n3)),
inference(equality_proxy_replacement,[],[f161,f249]) ).
fof(f161,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f133]) ).
fof(f461,plain,
spl3_26,
inference(avatar_split_clause,[],[f258,f404]) ).
fof(f404,plain,
( spl3_26
<=> sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f258,plain,
sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n4)),
inference(equality_proxy_replacement,[],[f162,f249]) ).
fof(f162,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f133]) ).
fof(f460,plain,
spl3_27,
inference(avatar_split_clause,[],[f257,f408]) ).
fof(f408,plain,
( spl3_27
<=> sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f257,plain,
sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n5)),
inference(equality_proxy_replacement,[],[f163,f249]) ).
fof(f163,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f133]) ).
fof(f459,plain,
spl3_28,
inference(avatar_split_clause,[],[f164,f412]) ).
fof(f412,plain,
( spl3_28
<=> leq(n0,pv5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f164,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f133]) ).
fof(f458,plain,
spl3_29,
inference(avatar_split_clause,[],[f165,f416]) ).
fof(f416,plain,
( spl3_29
<=> leq(n0,pv51) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f165,plain,
leq(n0,pv51),
inference(cnf_transformation,[],[f133]) ).
fof(f457,plain,
spl3_30,
inference(avatar_split_clause,[],[f166,f420]) ).
fof(f420,plain,
( spl3_30
<=> leq(pv5,minus(n999,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f166,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[],[f133]) ).
fof(f456,plain,
spl3_31,
inference(avatar_split_clause,[],[f167,f424]) ).
fof(f424,plain,
( spl3_31
<=> leq(pv51,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f167,plain,
leq(pv51,minus(n6,n1)),
inference(cnf_transformation,[],[f133]) ).
fof(f455,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20
| ~ spl3_21
| ~ spl3_22
| ~ spl3_23
| ~ spl3_24
| ~ spl3_25
| ~ spl3_26
| ~ spl3_27
| ~ spl3_28
| ~ spl3_29
| ~ spl3_30
| ~ spl3_31
| spl3_37 ),
inference(avatar_split_clause,[],[f254,f452,f424,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348,f344,f340,f336,f332,f328,f324,f320,f316,f312,f308,f304]) ).
fof(f254,plain,
( leq(n0,sK0)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f170,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249]) ).
fof(f170,plain,
( leq(n0,sK0)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f450,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20
| ~ spl3_21
| ~ spl3_22
| ~ spl3_23
| ~ spl3_24
| ~ spl3_25
| ~ spl3_26
| ~ spl3_27
| ~ spl3_28
| ~ spl3_29
| ~ spl3_30
| ~ spl3_31
| spl3_36 ),
inference(avatar_split_clause,[],[f253,f447,f424,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348,f344,f340,f336,f332,f328,f324,f320,f316,f312,f308,f304]) ).
fof(f253,plain,
( leq(n0,sK1)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f171,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249]) ).
fof(f171,plain,
( leq(n0,sK1)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f445,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20
| ~ spl3_21
| ~ spl3_22
| ~ spl3_23
| ~ spl3_24
| ~ spl3_25
| ~ spl3_26
| ~ spl3_27
| ~ spl3_28
| ~ spl3_29
| ~ spl3_30
| ~ spl3_31
| spl3_35 ),
inference(avatar_split_clause,[],[f252,f442,f424,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348,f344,f340,f336,f332,f328,f324,f320,f316,f312,f308,f304]) ).
fof(f252,plain,
( leq(sK0,n2)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f172,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249]) ).
fof(f172,plain,
( leq(sK0,n2)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f440,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20
| ~ spl3_21
| ~ spl3_22
| ~ spl3_23
| ~ spl3_24
| ~ spl3_25
| ~ spl3_26
| ~ spl3_27
| ~ spl3_28
| ~ spl3_29
| ~ spl3_30
| ~ spl3_31
| spl3_34 ),
inference(avatar_split_clause,[],[f251,f437,f424,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348,f344,f340,f336,f332,f328,f324,f320,f316,f312,f308,f304]) ).
fof(f251,plain,
( leq(sK1,minus(pv5,n1))
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f173,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249]) ).
fof(f173,plain,
( leq(sK1,minus(pv5,n1))
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f435,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_14
| ~ spl3_15
| ~ spl3_16
| ~ spl3_17
| ~ spl3_18
| ~ spl3_19
| ~ spl3_20
| ~ spl3_21
| ~ spl3_22
| ~ spl3_23
| ~ spl3_24
| ~ spl3_25
| ~ spl3_26
| ~ spl3_27
| ~ spl3_28
| ~ spl3_29
| ~ spl3_30
| ~ spl3_31
| ~ spl3_32
| ~ spl3_33 ),
inference(avatar_split_clause,[],[f250,f432,f428,f424,f420,f416,f412,f408,f404,f400,f396,f392,f388,f384,f380,f376,f372,f368,f364,f360,f356,f352,f348,f344,f340,f336,f332,f328,f324,f320,f316,f312,f308,f304]) ).
fof(f250,plain,
( ~ sQ2_eqProxy(use,a_select3(z_defuse,sK0,sK1))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,sK0,sK1))
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(xinit_noise_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(xinit_mean_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(xinit_defuse,n3))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n2,n0))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n1,n0))
| ~ sQ2_eqProxy(use,a_select3(u_defuse,n0,n0))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n5))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n4))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n3))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(sigma_defuse,n0))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n2))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n1))
| ~ sQ2_eqProxy(use,a_select2(rho_defuse,n0)) ),
inference(equality_proxy_replacement,[],[f174,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249,f249]) ).
fof(f174,plain,
( use != a_select3(z_defuse,sK0,sK1)
| use != a_select3(u_defuse,sK0,sK1)
| ~ leq(pv51,minus(n6,n1))
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv51)
| ~ leq(n0,pv5)
| use != a_select2(xinit_noise_defuse,n5)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n3)
| use != a_select3(u_defuse,n2,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n0,n0)
| use != a_select2(sigma_defuse,n5)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(rho_defuse,n2)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n0) ),
inference(cnf_transformation,[],[f133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV095+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 21:06:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.fops83eSrh/Vampire---4.8_5330
% 0.55/0.72 % (5445)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.55/0.72 % (5438)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.72 % (5440)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.72 % (5442)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.55/0.72 % (5441)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.55/0.72 % (5439)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.55/0.72 % (5443)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.55/0.72 % (5444)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.55/0.72 % (5445)First to succeed.
% 0.55/0.72 % (5445)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5437"
% 0.55/0.72 % (5438)Also succeeded, but the first one will report.
% 0.55/0.72 % (5445)Refutation found. Thanks to Tanya!
% 0.55/0.72 % SZS status Theorem for Vampire---4
% 0.55/0.72 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.73 % (5445)------------------------------
% 0.55/0.73 % (5445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (5445)Termination reason: Refutation
% 0.55/0.73
% 0.55/0.73 % (5445)Memory used [KB]: 1258
% 0.55/0.73 % (5445)Time elapsed: 0.007 s
% 0.55/0.73 % (5445)Instructions burned: 21 (million)
% 0.55/0.73 % (5437)Success in time 0.359 s
% 0.55/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------